Finding the Third Proportional to 19,792 and 30,688

Step by Step Solution

1. Step 1: Write the proportion equation
   19,792 : 30,688 = 30,688 : x
2. Step 2: Convert to fraction form
   19,792/30,688 = 30,688/x
3. Step 3: Cross multiply
   19,792x = 30,688 × 30,688
4. Step 4: Simplify right side
   19,792x = 941,753,344
5. Step 5: Solve for x
   x = 941,753,344/19,792
6. Step 6: Final answer
   x = 47,582.53